7920753723840 has 224 divisors, whose sum is σ = 25970902917120. Its totient is φ = 2043177984000.

The previous prime is 7920753723823. The next prime is 7920753723851. The reversal of 7920753723840 is 483273570297.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69909156 + ... + 70022364.

It is an arithmetic number, because the mean of its divisors is an integer number (115941530880).

Almost surely, 2^{7920753723840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7920753723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985451458560).

7920753723840 is an abundant number, since it is smaller than the sum of its proper divisors (18050149193280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7920753723840 is a wasteful number, since it uses less digits than its factorization.

7920753723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115611 (or 115601 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 7920753723840 in words is "seven trillion, nine hundred twenty billion, seven hundred fifty-three million, seven hundred twenty-three thousand, eight hundred forty".